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Finding the Fourth Proportional to 519,429, 715,213.23 and 442,776.27

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Solution

The fourth proportional to 519,429, 715,213.23 and 442,776.27 is: 609,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,429 : 715,213.23 = 442,776.27 : x
  2. Step 2: Convert to fraction form
    519,429/715,213.23 = 442,776.27/x
  3. Step 3: Cross multiply
    519,429x = 715,213.23 × 442,776.27
  4. Step 4: Simplify right side
    519,429x = 316,679,446,234.05
  5. Step 5: Solve for x
    x = 316,679,446,234.05/519,429
  6. Step 6: Final answer
    x = 609,668.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.